2010020010113 has 4 divisors (see below), whose sum is σ = 2010341259780. Its totient is φ = 2009698760448.

The previous prime is 2010020010107. The next prime is 2010020010121. The reversal of 2010020010113 is 3110100200102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1577867601424 + 432152408689 = 1256132^2 + 657383^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010020010113 - 2²⁸ = 2009751574657 is a prime.

It is a super-3 number, since 3×2010020010113³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010020010094 and 2010020010103.

It is not an unprimeable number, because it can be changed into a prime (2010020010913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160615448 + ... + 160627961.

It is an arithmetic number, because the mean of its divisors is an integer number (502585314945).

Almost surely, 2^{2010020010113} is an apocalyptic number.

It is an amenable number.

2010020010113 is a deficient number, since it is larger than the sum of its proper divisors (321249667).

2010020010113 is an equidigital number, since it uses as much as digits as its factorization.

2010020010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321249666.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2010020010113 its reverse (3110100200102), we get a palindrome (5120120210215).

The spelling of 2010020010113 in words is "two trillion, ten billion, twenty million, ten thousand, one hundred thirteen".